where \(D_i = i\eta _{i,\bullet } \eta _{i,\circ }\)  [1]}, [2]} is a local gauge flux. Here \(i\)  labels unit cells, which have two sublattices \(\bullet \)  and \(\circ \) . Since the Majorana fermions do not have well-defined occupation numbers, we construct quantum circuits after mapping the Majorana fermions back to conventional fermions. We introduce bond fermions for the two sites connected by the \(z\) -bonds as follows:
\(f_{i} = \frac{1}{2} \left( \gamma _{i,\bullet } + i\gamma _{i,\circ }\right).\) 
